云亭数学讲坛2023第21讲——王智诚教授

文章来源:皇冠正规娱乐平台发布日期:2023-06-21浏览次数:360

应学院邀请,兰州大学王智诚教授将来皇冠正规娱乐平台作学术报告。

报告题目:On Traveling Fronts of Reaction-Diffusion Equations in Spatially Periodic Media

报告摘要:This talk is concerned with traveling fronts of spatially periodic reaction-diffusion equations with combustion nonlinearity in . It is known that for any given propagation direction , the equation admits a pulsating front connecting two equilibria 0 and 1. We firstly give exact asymptotic behaviors of the pulsating front and its derivatives at infinity, and establish uniform decay estimates of the pulsating fronts at infinity on the propagation direction . Following the uniform estimates, we then show continuous Fr\'echet differentiability of the pulsating fronts with respect to the propagation direction. Lastly, using the  differentiability, we establish  the existence, uniqueness and stability of curved fronts with V-shape in  by constructing suitable super- and subsolutions.

报告时间:202362810:30

报告地点:教学9号楼C101学术报告厅

邀 请 人:赵孟教授

届时欢迎广大师生参与交流!


报告人简介

王智诚,兰州大学皇冠正规娱乐平台教授,博士生导师。1994年本科毕业于西北师范大学,2007年在兰州大学获理学博士学位。主要成果发表在Trans. AMSArch. Rational Mech. Anal.SIAM J. Math. Anal.SIAM J. Appl. Math.JMPACalc. Var. PDEJDENonlinearity等杂志上。2010年入选教育部新世纪优秀人才支持计划,20112019年分别获得甘肃省自然科学二等奖,2016年入选甘肃省飞天学者特聘教授,主持或参加完成多项国家自然科学基金面上项目和重点项目,正在主持一项甘肃省基础研究创新群体项目和一项国家自然科学基金面上项目。目前担任International  J.  Bifurc. Chaos 等杂志的编委(Associate editor)。


甘肃省数学与统计学基础学科研究中心

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